221459766242 has 90 divisors (see below), whose sum is σ = 397783034439. Its totient is φ = 92401074480.

The previous prime is 221459766223. The next prime is 221459766251. The reversal of 221459766242 is 242667954122.

221459766242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3876961 + 221455889281 = 1969^2 + 470591^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332761.

It is a super-2 number, since 2×221459766242² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1237205309 + ... + 1237205487.

Almost surely, 2^221459766242 is an apocalyptic number.

221459766242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221459766242 is a deficient number, since it is larger than the sum of its proper divisors (176323268197).

221459766242 is an frugal number, since it uses more digits than its factorization.

221459766242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 205 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

Multiplying 221459766242 by its sum of digits (50), we get a square (11072988312100 = 3327610²).

The spelling of 221459766242 in words is "two hundred twenty-one billion, four hundred fifty-nine million, seven hundred sixty-six thousand, two hundred forty-two".